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Finding the Fourth Proportional to 294,174.64, 441,267.09 and 83,817.91

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Solution

The fourth proportional to 294,174.64, 441,267.09 and 83,817.91 is: 125,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,174.64 : 441,267.09 = 83,817.91 : x
  2. Step 2: Convert to fraction form
    294,174.64/441,267.09 = 83,817.91/x
  3. Step 3: Cross multiply
    294,174.64x = 441,267.09 × 83,817.91
  4. Step 4: Simplify right side
    294,174.64x = 36,986,085,235.58
  5. Step 5: Solve for x
    x = 36,986,085,235.58/294,174.64
  6. Step 6: Final answer
    x = 125,728.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.